A sampled-data system such as that presented in problem (i) has a sampling period T = 0.05s and has
G(z) = K (z3 + 10.3614z2 + 9.758z + 0.8353) / (z4 - 3.7123z3 + 5.1644z2 - 3.195z + 0.7408)
1. Determine K when the two real poles break away from the real axis.
2. Calculate the maximum K for stability.
3. Use MATLAB to plot the root locus.